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Titlebook: Around and Beyond the Square of Opposition; Jean-Yves Béziau,Dale Jacquette Book 2012 Springer Basel 2012 intuitionistic logic.knowledge.l

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楼主: 祈求
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Oppositions and Oppositesshed some new light on the connection between opposition and negation. The paper proceeds as follows..After recalling the historical background, oppositions and opposites are compared from a mathematical perspective: the first occurs as a relation, the second as a function. Then the main point of th
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Pluralism in Logic: The Square of Opposition, Leibniz’ Principle of Sufficient Reason and Markov’s Pre of opposition. A similar unique structure is obtained. In order to support this new logical structure, I investigate on the rich legacy of the non-classical arguments presented by ingenuity by several authors of scientific theories. A comparative analysis of their ways of arguing shows that each
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The Square of Opposition in Orthomodular Logicve. Possible relations between two of the mentioned type of propositions are encoded in the square of opposition. The square expresses the essential properties of monadic first order quantification which, in an algebraic approach, may be represented taking into account monadic Boolean algebras. More
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No Group of Opposition for Constructive Logics: The Intuitionistic and Linear Casesttempt to apply the square of opposition to linear logic shows that the lack of subcontrariety and the asymmetry of contradiction are not equivalent properties. The former property, not the latter, is the general reason why there can be no group of opposition for constructive logics.
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The Square of Opposition and Generalized Quantifiersry. Generalized quantifiers allow us to account for the semantics of quantificational Noun Phrases, and of other natural language expressions, in a coherent and uniform way. I suggest that in the analysis of the meaning of Noun Phrases and Determiners the square of opposition may help representing s
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Privations, Negations and the Square: Basic Elements of a Logic of Privations opposition as heuristic devices to show that a logic which contains all three mentioned kinds of negation must be a fragment of a Łukasiewicz-four-valued predicate logic. I show, further, that, this analysis can be elaborated so as to comprise additional kinds of privation. This would increase the
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https://doi.org/10.1007/978-1-4757-3994-7o Aristotle in many aspects, their analysis of logical oppositions differs from Aristotle’s by its semantic character, and their conceptions of opposition are different from each other and from Aristotle’s conception. Following Al Fārābī, they distinguish between propositions by means of what they c
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Peter Damerow,Gideon Freudenthal,Jürgen Rennhysics, of which the inaugural act, in his . (c. 1671) was an obvious reference to the Apulean square of opposition. Later, scholars acknowledged in this passage probably one of the first sketch of deontic logic of norms. His modal metaphysics rather deals with the so-called alethic modalities, some
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